Nonlinear dust ion acoustic waves behaviors analysis in warm viscous dusty plasma with trapped ions

Patrice, Dongmo Tsopgue; Mohamadou, Alidou; Kofané, Timoléon Crépin

doi:10.1063/1.5017505

Cited by 15 publications

(8 citation statements)

References 52 publications

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“…In addition, an increase in the constant speed of the reference frame,

λ

, directly leads to an increase in

|ϕ_{0}|

, which means that the energy of the DA solitary wave increases. Now, it would be very interesting to compare our work with that of Patrice et al [ 34 ] Our results, by neglecting the trapping parameter,

β

, agree with the work of Patrice et al [ 34 ] with cold dust grains have a constant charge. To complement the present work picture, we can examine, in detail, the characteristic of non‐linear DA travelling waves, which have periodic orbits around the equilibrium point

{normalΘ}_{1}

.…”

Section: Resultssupporting

confidence: 83%

“…[ 23 ] In this study, we can thus simulate a plasma model consisting of negative dust fluid, Maxwellian distributed electrons, and a vortex‐like distribution of trapped ions. The non‐linear excitation of DA waves in the model at hand is governed by the following set of equations [ 26,27,34 ] :

\frac{\partial n_{normald}}{\partial t} + \frac{\partial}{\partial x} (n_{normald} u_{normald}) = 0,

\frac{\partial u_{normald}}{\partial t} + u_{normald} \frac{\partial u_{normald}}{\partial x} - \frac{\partial ϕ}{\partial x} = 0,

n_{normale} = \exp false(γ ϕ false),

n_{normali} ≅ 1 - ϕ - b {(goodbreak- ϕ)}^{3 / 2} + \frac{1}{2} ϕ^{2},

\frac{\partial^{2} ϕ}{\partial x^{2}} = n_{normald} + \frac{δ_{e}}{1 - δ_{normale}} n_{normale} - \frac{1}{1 - δ_{normale}} n_{normali} .

…”

Section: Basic Equationsmentioning

confidence: 99%

“…In fact, it has now been shown that the effect of trapped ions significantly modifies the physical nature of linear and non‐linear solitons and shock waves in dusty plasmas, which are already found in laboratories, space, and astrophysical situations. For example, Patrice et al [ 34 ] discussed the effects of plasma parameters, such as the dusty plasma viscosity, trapping ion parameter, and dust charge variation on the characteristics of solitary waves and shock wave solutions. Patrice et al [ 34 ] demonstrated that the rarefactive wave propagates slowly in their dusty plasma model due to dust charge growing.…”

Section: Introductionmentioning

confidence: 99%

“…For example, Patrice et al [ 34 ] discussed the effects of plasma parameters, such as the dusty plasma viscosity, trapping ion parameter, and dust charge variation on the characteristics of solitary waves and shock wave solutions. Patrice et al [ 34 ] demonstrated that the rarefactive wave propagates slowly in their dusty plasma model due to dust charge growing. In addition, many investigators have applied bifurcation analysis [ 35 ] extensively to examine non‐linear waves' physical behaviour in different plasma models due to its significant applications in various plasma cases.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Effects of trapped ions concentration on the dynamics of dust‐acoustic periodic travelling waves in dusty plasmas

Selim

Abdelaleem

El-Bedwehy

et al. 2021

Contributions to Plasma Physics

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This study is essentially an attempt to investigate the effects of trapped ions concentration on the dynamics of dust‐acoustic (DA) periodic travelling waves in dusty plasmas, which consist of dust fluid, trapped ions, and Maxwellian electrons. The physical nature of DA solitary and periodic travelling waves in the plasma model at hand is governed by a Korteweg‐de Vries (KdV) type equation. Bifurcation analysis of the Hamiltonian system is applied to demonstrate the probability of the presence of DA solitary and periodic travelling waves for the KdV type equation. A careful discussion illustrates that non‐linear phenomena of DA solitary and periodic travelling waves are modified due to the presence of the trapped ions concentration. It is found numerically that the negative amplitude of DA periodic travelling waves is amplified, as the trapping parameter that determines the number of the trapped ions is increased. The numerical simulation gives rise to significant highlights on the dynamics of solitary and periodic travelling waves in astrophysical environments such as Saturn's moon Enceladus.

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“…In addition, an increase in the constant speed of the reference frame,

λ

, directly leads to an increase in

|ϕ_{0}|

β

{normalΘ}_{1}

.…”

Section: Resultssupporting

confidence: 83%

\frac{\partial n_{normald}}{\partial t} + \frac{\partial}{\partial x} (n_{normald} u_{normald}) = 0,

\frac{\partial u_{normald}}{\partial t} + u_{normald} \frac{\partial u_{normald}}{\partial x} - \frac{\partial ϕ}{\partial x} = 0,

n_{normale} = \exp false(γ ϕ false),

n_{normali} ≅ 1 - ϕ - b {(goodbreak- ϕ)}^{3 / 2} + \frac{1}{2} ϕ^{2},

\frac{\partial^{2} ϕ}{\partial x^{2}} = n_{normald} + \frac{δ_{e}}{1 - δ_{normale}} n_{normale} - \frac{1}{1 - δ_{normale}} n_{normali} .

…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effects of trapped ions concentration on the dynamics of dust‐acoustic periodic travelling waves in dusty plasmas

Selim

Abdelaleem

El-Bedwehy

et al. 2021

Contributions to Plasma Physics

View full text Add to dashboard Cite

show abstract

“…Very recently, Tamang and Saha 35 investigated PA superperiodic wave features and its chaotic behaviour in a nonextensive electron–positron–ion plasmas. Not only IA supersoliton but also DIA supersoliton were studied in DPs 36 . The domains of the existence of supersolitons in a DP were estimated by Maharaj et al 37 The propagation of DA supersoliton in a four–component DP was investigated by El‐Wakil et al, 38 and they recognize that the condition of its existence is the consideration of a multicomponent plasma model.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation analysis of nonlinear and supernonlinear dust–acoustic waves in a dusty plasma using the generalized (r, q) distribution function for ions and electrons

Taha

El-Taibany

2020

Contributions to Plasma Physics

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Bifurcation analysis of dust acoustic (DA) periodic waves in three components, unmagnetized dusty plasma system is investigated using the generalized (r, q) distribution function for ions and electrons. Depending on the different parameters of the system considered, all possible phase portraits, including periodic, homoclinic, superperiodic, and superhomoclinic trajectories, are presented. The existence of rarefactive and compressive solitary waves is proved. Also, the plasma system under consideration supports both nonlinear and supernonlinear DA periodic waves. It has been found that the double spectral indices r and q play a decisive effect on the bifurcation of the waves.

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Amplitude modulation and nonlinear dynamics of small amplitude ion‐acoustic waves in five component cometary plasmas

Kolay,

Dutta,

Sahu

2024

Contrib. Plasma Phys

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The formation and propagation dynamics of the finite‐amplitude ion‐acoustic wave (IAW) structures (e.g., soliton, breather, rogue wave, etc.) is theoretically investigated in a plasma comprising of kappa distributed solar and cometary electrons of different temperatures, a hot drift ion component, and a pair of oppositely charged oxygen ion components. The modified‐KdV (mKdV) equation is derived in order to study the propagation dynamics of the ion‐acoustic solitary wave (IASW). It is then converted into the nonlinear Schrödinger equation (NLS) through appropriate algebraic manipulation in order to observe the amplitude modulation of the IAWs. Also, the appearance of envelope soliton and the possibility of breather structure formation have been studied from the NLS equation. The dependence of plasma parameters on the formation and propagation of IAW structures has been briefly discussed. The modified‐KdV equation is reduced in a dynamical system through the application of coordinate transformation. The existence of finite‐amplitude nonlinear and supernonlinear IAWs is demonstrated by phase plane analysis. Due to the fact that the results are primarily associated with cometary plasma, they possibly provide greater insight of the nonlinear characteristics of cometary plasma.

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Nonlinear dust ion acoustic waves behaviors analysis in warm viscous dusty plasma with trapped ions

Cited by 15 publications

References 52 publications

Effects of trapped ions concentration on the dynamics of dust‐acoustic periodic travelling waves in dusty plasmas

Effects of trapped ions concentration on the dynamics of dust‐acoustic periodic travelling waves in dusty plasmas

Bifurcation analysis of nonlinear and supernonlinear dust–acoustic waves in a dusty plasma using the generalized (r, q) distribution function for ions and electrons

Amplitude modulation and nonlinear dynamics of small amplitude ion‐acoustic waves in five component cometary plasmas

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